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Finding the Fourth Proportional to 2,038.98, 3,059.04 and 578.14

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Solution

The fourth proportional to 2,038.98, 3,059.04 and 578.14 is: 867.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.98 : 3,059.04 = 578.14 : x
  2. Step 2: Convert to fraction form
    2,038.98/3,059.04 = 578.14/x
  3. Step 3: Cross multiply
    2,038.98x = 3,059.04 × 578.14
  4. Step 4: Simplify right side
    2,038.98x = 1,768,553.39
  5. Step 5: Solve for x
    x = 1,768,553.39/2,038.98
  6. Step 6: Final answer
    x = 867.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.